List of top Physics Questions on Electric Flux

An electric field $ \vec{E} $ is given by:
\[ \vec{E} = \begin{cases} +100\, \hat{i} \dfrac{\text{N}}{\text{C}} & \text{for } x>0 \\ -100\, \hat{i} \dfrac{\text{N}}{\text{C}} & \text{for } x<0 \end{cases} \] A right circular cylinder of length $ 10\, \text{cm} $ and radius $ 2\, \text{cm} $, is placed such that its axis coincides with the x-axis and its two faces are at $ x = -5\, \text{cm} $ and $ x = 5\, \text{cm} $. Calculate: (a) the net outward flux through the cylinder, and (b) the net charge inside the cylinder.

A line charge of length $ \frac{a}{2} $ is kept at the center of an edge BC of a cube ABCDEFGH having edge length $ a $. If the density of the line is $ \lambda C $ per unit length, then the total electric flux through all the faces of the cube will be : (Take $ \varepsilon_0 $ as the free space permittivity)
A line charge of length

A metallic sphere of radius $ R $ carrying a charge $ q $ is kept at a certain distance from another metallic sphere of radius $ R_4 $ carrying a charge $ Q $. What is the electric flux at any point inside the metallic sphere of radius $ R $ due to the sphere of radius $ R_4 $?

The angle between the particle velocity and wave velocity in a transverse wave is (except when the particle passes through the mean position)

A charge is kept at the central point $ P $ of a cylindrical region. The two edges subtend a half-angle $\theta$ at $ P $, as shown in the figure. When $\theta = 30^\circ$, then the electric flux through the curved surface of the cylinder is $\Phi$. If $\theta = 60^\circ$, then the electric flux through the curved surface becomes $\frac{\Phi}{\sqrt{n}}$, where the value of $n$ is \_\_\_\_. \includegraphics[width=0.3\linewidth]{ph8.png}

A charge is kept at the central point P of a cylindrical region. The two edges subtend a half-angle $\theta$ at P, as shown in the figure. When $\theta = 30$ , then the electric flux through the curved surface of the cylinder is $Φ$. If $\theta= 60\degree$ , then the electric flux through the curved surface becomes $Φ/√𝑛$, where the value of n is______.

Five charges +q, +5q, –2q, +3q and –4q are situated as shown in the figure. The electric flux due to this configuration through the surface S is

Four closed surfaces and corresponding charge distributions are shown below. The respective electric fluxes through the surfaces $ S_1, S_2, S_3, S_4 $ are $ \Phi_1, \Phi_2, \Phi_3, \Phi_4 $. Then, which of the following is correct?

Two charges of $5Q$ and $-2Q$ are situated at the points $(3a, 0)$ and $(-5a, 0)$ respectively. The electric flux through a sphere of radius $4a$ having its center at the origin is:

A small electric dipole $ \vec{p}_0 $, having a moment of inertia $ I $ about its center, is kept at a distance $ r $ from the center of a spherical shell of radius $ R $. The surface charge density $ \sigma $ is uniformly distributed on the spherical shell. The dipole is initially oriented at a small angle $ \theta $ as shown in the figure. While staying at a distance $ r $, the dipole is free to rotate about its center. If released from rest, then which of the following statement(s) is(are) correct? \[ \epsilon_0 \text{ is the permittivity of free space.} \]
\includegraphics[width=0.4\linewidth]{ph5.png}

A uniform electric field $ E = 3 \times 10^3 \, \text{N/C} $ is acting along the positive Y-axis. The electric flux through a rectangle of area $ 10 \, \text{m} \times 30 \, \text{m} $, where the plane of the rectangle is parallel to the Z-X plane is

The total electric flux through a closed spherical surface of radius $ r $ enclosing an electric dipole of dipole moment $ 2aq $ is (Give $ \epsilon_0 $ = permittivity of free space)

Expression for an electric field is given by $\overrightarrow{ E }=4000 x^2 i \frac{ V }{ m }$ The electric flux through the cube of side $20 cm$ when placed in electric field (as shown in the figure) is ___$V cm$

The net electric flux due to a uniform electric field of $ 3 \times 10^3 \, \text{NC}^{-1} $ through a cube of side 20 cm oriented such that its faces are parallel to the coordinate planes is:

The electric flux from a cube of side 1 m is $\Phi$. When the side of the cube is made 3 m and the charge enclosed by the cube is made one-third of the original value, then the flux from the bigger cube will be:

Choose the correct alternative from the following:

In a cuboid of dimension $2L \times 2L \times L$, a charge q is placed at the center of the surface ‘S’ having area of 4 L². The flux through the opposite surface to ‘S’ is:

A capacitor of capacitance C is charged to a potential V. The flux of the electric field through a closed surface enclosing the positive plate of the capacitor is :

The electric charges are distributed in a small volume. The flux of the electric field through a sphere of radius 10 cm surrounding the total charge is 20 Vm. The flux over a concentric sphere of radius 20 cm will be:

A disk of radius $R$ with uniform positive charge density $\sigma$ is placed on the $x y$ plane with its center at the origin. The Coulomb potential along the $z$-axis is $V(z)=\frac{\sigma}{2 \epsilon_0}\left(\sqrt{R^2+z^2}-z\right)$.
A particle of positive charge $q$ is placed initially at rest at a point on the $z$ axis with $z=z_0$ and $z_0>0$. In addition to the Coulomb force, the particle experiences a vertical force $\vec{F}=-c \hat{k}$ with $c>0$ Let $\beta=\frac{2 c \in_0}{q \sigma}$. Which of the following statement(s) is(are) correct?

If same charge q is placed inside a sphere and cube having radius 1m and side 2m respectively. What will be the ratio of flux passing through them ?

If the same charge 'q' is placed inside a sphere and cube having radius 1 m and side 2 m respectively. What will be the ratio of the flux passing through them:

Eight dipoles with charges of magnitudes e are placed in side a cube. The total electric flux coming out of the cube will be

What is the net flux of the uniform electric field of Exercise 1.15 through a cube of side 20 cm oriented so that its faces are parallel to the coordinate planes?